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Finding the Third Proportional to 104,712.75 and 166,455

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Solution

The third proportional to 104,712.75 and 166,455 is: 264,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,712.75 : 166,455 = 166,455 : x
  2. Step 2: Convert to fraction form
    104,712.75/166,455 = 166,455/x
  3. Step 3: Cross multiply
    104,712.75x = 166,455 × 166,455
  4. Step 4: Simplify right side
    104,712.75x = 27,707,267,025
  5. Step 5: Solve for x
    x = 27,707,267,025/104,712.75
  6. Step 6: Final answer
    x = 264,602.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.